A simple model of the Draupner Wave Experiment by Graeme Hocking, Emma Nel, Alice Markham, Erick Mubai, Thama Duba, Samah Ali, Hloniphile Sithole Mthethwa, Morwakoma Matabane, Ndivhuwo Ndou, Katlego Sebogodi, Salma Ahmedai, Nyathi Freeman

“…Partial Differential Equations in Applied Mathematics…”
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A computational time integrator for heat and mass transfer modeling of boundary layer flow using fuzzy parameters by Muhammad Shoaib Arif, Wasfi Shatanawi, Yasir Nawaz

“…Partial Differential Equations in Applied Mathematics…”
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Boundary layer flow of a non-Newtonian fluid over an exponentially stretching sheet with the presence of a heat source/sink by Vinod Y．, K.R. Raghunatha, Suma Nagendrappa Nagappanavar, Nodira Nazarova, Manish Gupta, Sangamesh

“…Partial Differential Equations in Applied Mathematics…”
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Semi-analytical approach for solving the mathematical model of solid-phase diffusion in electrodes: An application of modified differential transform method by Shivaranjini S, Neetu Srivastava

“…Partial Differential Equations in Applied Mathematics…”
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Rational hybrid block method for solving Bratu-type boundary value problems by S.S. Motsa, S.D. Oloniiju, H. Sithole-Mthethwa

“…Partial Differential Equations in Applied Mathematics…”
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Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approach by Titilayo M Agbaje, Folarin Oluwaseun, S.R. Mishra, Rupa Baithalu, Subhajit Panda

“…Partial Differential Equations in Applied Mathematics…”
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Analytical simulations for rate type nanomaterial stretching flow with dual convection by Manzoor Ahmad, Sami Ullah Khan, Syeda Quratulain, Adnan, M. Waqas, Hakim AL Garalleh, Nurnadiah Zamri, Dilsora Abduvalieva, Manish Gupta

“…Partial Differential Equations in Applied Mathematics…”
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Permeability Models for Magma Flow through the Earth's Mantle: A Lie Group Analysis by N. Mindu, D. P. Mason

“…The migration of melt through the mantle of the Earth is governed by a third-order nonlinear partial differential equation for the voidage or volume fraction of melt. …”
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation by Wenyuan Liao

“…The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly stiff. …”
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Recognition of High Difference Features in Urban Planning Images Based on Morphological Filtering by Peipei Liu

“…This paper mainly studies the image enhancement method based on partial differential equation. By analysing the combination of partial differential equation theory and enhancement, aiming at the shortcomings of low recognition accuracy, high error rate, and long time consuming in the current method of urban planning image feature recognition, a feature enhancement and simulation of urban planning image based on partial differential equation method is proposed; the preprocessing of urban planning image is realized by collecting the urban planning image. …”
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Asian Option Pricing with Transaction Costs and Dividends under the Fractional Brownian Motion Model by Yan Zhang, Di Pan, Sheng-Wu Zhou, Miao Han

“…The pricing problem of geometric average Asian option under fractional Brownian motion is studied in this paper. The partial differential equation satisfied by the option’s value is presented on the basis of no-arbitrage principle and fractional formula. …”
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Using Nonlinear Diffusion Model to Identify Music Signals by Qiang Li

“…In this paper, combined with the partial differential equation music signal smoothing model, a new music signal recognition model is proposed. …”
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Viscosity Solution of Mean-Variance Portfolio Selection of a Jump Markov Process with No-Shorting Constraints by Moussa Kounta

“…In this situation the Hamilton-Jacobi-Bellman (HJB) equation of the value function of the auxiliary problem becomes a coupled system of backward stochastic partial differential equation. In fact, the value function V often does not have the smoothness properties needed to interpret it as a solution to the dynamic programming partial differential equation in the usual (classical) sense; however, in such cases V can be interpreted as a viscosity solution. …”
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Accuracy, Robustness, and Efficiency of the Linear Boundary Condition for the Black-Scholes Equations by Darae Jeong, Seungsuk Seo, Hyeongseok Hwang, Dongsun Lee, Yongho Choi, Junseok Kim

“…We briefly review and investigate the performance of various boundary conditions such as Dirichlet, Neumann, linear, and partial differential equation boundary conditions for the numerical solutions of the Black-Scholes partial differential equation. …”
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Nonlinear Vibration Analysis of Submerged Floating Tunnel Tether by Sheng-nan Sun, Zhi-bin Su, Yun-fen Feng

“…To study the nonlinear vibration characteristics of submerged floating tunnel tether, the nonlinear vibration partial differential equation of tether is set up, in which the inclination, sag, initial tension force, and length of tether are taken into account. …”
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A Computational Model for q-Bernstein Quasi-Minimal Bézier Surface by Daud Ahmad, M. Khalid Mahmood, Qin Xin, Ferdous M. O. Tawfiq, Sadia Bashir, Arsha Khalid

“…Instead of solving the partial differential equation, we can find the optimal conditions for which the surface is the extremal of the Dirichlet functional. …”
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Principal Parametric Resonance of Axially Accelerating Viscoelastic Beams: Multi-Scale Analysis and Differential Quadrature Verification by Li-Qun Chen, Hu Ding, C.W. Lim

“…The transverse motion can be governed by a non-linear partial-differential equation or a non-linear integro-partial-differential equation. …”
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Viscosity Solutions and American Option Pricing in a Stochastic Volatility Model of the Ornstein-Uhlenbeck Type by Alexandre F. Roch

“…We characterize the value of such derivatives as the unique viscosity solution of an integral-partial differential equation when the payoff function satisfies a Lipschitz condition.…”
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Image Texture Analysis and Edge Detection Algorithm Based on Anisotropic Diffusion Equation by Xiaoqin Li

“…This paper uses partial differential equation image processing techniques to establish image texture analysis models based on nonlinear anisotropic diffusion equations for image denoising, image segmentation, and image decomposition. …”
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Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition by Song Chol Kim, Song Guk Han, Yong Il Song, Jin Sim Kim, Myong Gun Hong

“…To solve this model, a nonlinear partial differential equation is changed into a linear form of a partial differential equation by introducing an effective well radius and applying Pedrosa’s transformation and perturbation transformation. …”
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